Document Type
Article
Publication Date
11-28-2023
Keywords
Salkowski curve; Fundamental Theorem of Curves; Frenet-Serret equations
Abstract
In this paper, we determine the equation of a Salkowski curve whose ratio of torsion to curvature is given by 1/s, where s is the arc length of the curve. The Frenet-Serret equations provide the third-order vector differential equation for the unit tangent vector T(s) and the general (series) solution was obtained. In the end, the series solution is entirely determined by the given initial conditions.
Journal Title
PUMP: Journal of Undergraduate Research
Volume
6
First Page
346
Last Page
353
DOI
https://doi.org/10.46787/pump.v6i0.2633
First Department
Mathematics
Recommended Citation
Oh, Yun Myung and Garcia-Roblero, Devin, "On Determining the Equation of a Salkowski Curve Satisfying tau/kappa=1/s" (2023). Faculty Publications. 5124.
https://digitalcommons.andrews.edu/pubs/5124
Acknowledgements
Open access article retrieved May 22, 2024 from https://journals.calstate.edu/pump/article/view/2633